Metric Spaces, Neighborhoods, and Limit Points - 4
Now that we know how to describe the size of sets (even infinite ones) and we know how to talk about ordering and biggest and smallest elements, we are ready to continue our exploration of sets with another question: when is it possible to measure distance in a set?
Reading: Rudin Chapter 2: Metric Spaces (pg. 30-32)
Pre-Lecture Materials
Metric spaces and neighborhoods: Pre-lecture video A
Limit points, interior points, and isolated points: Pre-lecture video B
In-Class Activities
Open the following Overleaf link and make a copy for yourself. Remember to include the names of everyone who worked together in the document.
Lecture 4 In-Class Activity: Limit Points and Isolated Points
Assignments
- Submit your Overleaf proof 04: Limit Points